Galilean transformation from velocity composition?

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SUMMARY

The discussion centers on deriving the Galilean transformations from the Galilean composition formula for velocities. Participants suggest that understanding Levy-Leblond's analysis of the Galilei group may provide valuable insights into this derivation. The inquiry emphasizes the relationship between velocity composition and transformation principles in classical mechanics.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with Galilean transformations
  • Knowledge of velocity composition formulas
  • Basic grasp of group theory in physics
NEXT STEPS
  • Study Levy-Leblond's analysis of the Galilei group
  • Explore the mathematical derivation of Galilean transformations
  • Research the implications of velocity composition in classical mechanics
  • Examine the differences between Galilean and Lorentz transformations
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Students and professionals in physics, particularly those focusing on classical mechanics and mathematical physics, will benefit from this discussion.

jason12345
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Hi.

Is there a quick way of deriving the Galilean transformations from the Galilean composition formula for velocities?

Cheers.
 
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jason12345 said:
Hi.

Is there a quick way of deriving the Galilean transformations from the Galilean composition formula for velocities?

Cheers.

You mean, the other way around?
 
I have to think about this, but if you want to know more about this maybe Levy-Leblond's analysis of the Galilei group helps :)
 

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